Algebraic Topology

Math 427/527

Winter 2021

This course covers some essential elements of algebraic topology. It has, very broadly, three parts:

Part 1: Homology

Part 2: Cohomology

Part 3: Selected topics drawing on duality, infinite cyclic covers, characteristic classes

Everything you need for the course is here, apart from zoom links and homework submission, which makes use of Canvas. To see what this course looked like the last time I taught it, go here.

Please note that Math 426 (or similar) is an essential prerequisite. In particular, familiarity with the fundamental group will be assumed.

This term is starting with some unknowns (for the latest, go here), and it seems likely that flexibility will be required. I will use your official UBC email to contact you where needed. Ensure that your official email is up-to-date (namely, that you actually receive/read emails from your official email) at the Student Service Centre.

The image on the right was borrowed from The Inverse Homotopy by Tom Hockenhull (with permission); read the entire comic strip here.

              Lecture summaries